Question

What is the distance between (8, -3) and (4, - 7)?
Choose 1 answer:

Will GIVE YOU BRAINLIEST

Answer 1

Step-by-step explanation:

We'll find the distance using the all-famous "Distance Formula." You'll probably come across it quite a bit, so it's best to have it written down somewhere.

The Distance Formula: $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

Our points are (8, -3) and (4, -7), so we'll plug in those numbers accordingly.

For reference:

x2 = 4

x1 = 8

y2 = -7

y1 = -3

The calculation:

(substitute)

$\sqrt{(4-8)^2+((-7)-(-3))^2 }$

(simplify)

$\sqrt{(-4)^2+(-4)^2 }$

(square things)

$\sqrt{16+16 }$

(add)

$\sqrt{32}$

Answer:

$\sqrt{32}$

Answer 2

Answer:

$\boxed {\boxed {\sf C. \sqrt{32}}}$

Step-by-step explanation:

The distance between 2 points can be determined with the following formula.

$d= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2$

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. We want to find the distance between the points (8, -3) and (4, -7). If we match the value with its corresponding variable, then we see:

• x₁= 8
• y₁= -3
• x₂= 4
• y₂ = -7

Substitute the values into the formula.

$d= \sqrt{(4-8)^2+(-7--3)^2$

Solve inside the parentheses.

• (4-8) = -4
• (-7 - -3) = (-7+3)= -4

$d= \sqrt {(-4)^2+(-4)^2$

Solve the exponents.

• (-4)² = -4 * -4 = 16

$d= \sqrt {16+16$

Add.

$d= \sqrt {32}$

This radical can be simplified, but since it is an answer choice, we can leave it as is.

The distance between the points (8, -3) and (4, -7) is √32 and choice C is correct.